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The game that started it all: World of Warcraft is a Massively Multiplayer Online Game set in the award-winning etc. You should be playing it if you're not. Where I go when I need to brush up on my Warcraft lore - of which there is a staggering amount. Chris Metzen is the man, for truth. This soap opera about people my age has had me hooked since I first read it. Jeph Jacques updates the awesome and the melodrama. Smart, cerebral writing and a new, grittier style from the team that brought you Machall.
dbfclark.blogspot.com
Namespace Collision: Math Post the Sixth: Isomorphism
http://dbfclark.blogspot.com/2005/06/math-post-sixth-isomorphism.html
Friday, June 17, 2005. Math Post the Sixth: Isomorphism. To restate the conclusion of the first paragraph in nicer language, we classified all groups of prime order up to isomorphism: a group of order p is isomorphic to a clock arithmetic (or cyclic) group of order p, via the isomorphism defined by taking any nonidentity element to the generator 1. Next time: what groups are homomorphic images of other groups. Posted by Dennis at 3:36 PM. Isn't the short way to say 'one-to-one and onto' just "bijective"?
dbfclark.blogspot.com
Namespace Collision: July 2005
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Thursday, July 21, 2005. Math Post the Eighth: Personal Interlude with Some More Definitions. So I am now officially a doctoral candidate! Also I'm now (or will soon) be attending a lengthy algebraic geometry conference in Seattle, so I'm not even in Michigan anymore. Perhaps most importantly from a blogging perspective, I'm not madly studying every second of my day anymore (merely some seconds), so I should be able to get back to blogging on a more regular basis. So nyah, say I! Making an assumption lik...
dbfclark.blogspot.com
Namespace Collision: Math Post the Eighth: Personal Interlude with Some More Definitions
http://dbfclark.blogspot.com/2005/07/math-post-eighth-personal-interlude.html
Thursday, July 21, 2005. Math Post the Eighth: Personal Interlude with Some More Definitions. So I am now officially a doctoral candidate! Also I'm now (or will soon) be attending a lengthy algebraic geometry conference in Seattle, so I'm not even in Michigan anymore. Perhaps most importantly from a blogging perspective, I'm not madly studying every second of my day anymore (merely some seconds), so I should be able to get back to blogging on a more regular basis. So nyah, say I! Making an assumption lik...
dbfclark.blogspot.com
Namespace Collision: September 2004
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Thursday, September 30, 2004. I'm watching with rapt attention, but I have a problem: I find, and have always found, George W. Bush totally insuffferable in manner. Much though what he says disagrees with my thinking, all those "likeability" things that are supposed to be so much in Bush's favor make him utterly unlikeable to me, and I suspect would even if I agreed with the man. Posted by Dennis at 6:36 PM. Wednesday, September 29, 2004. Antonin Scalia: Confirmed Insanity. Yes, and no, and duh, and none...
dbfclark.blogspot.com
Namespace Collision: August 2004
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Wednesday, August 25, 2004. Hey again guys. Sorry for the lack of posting - I've been off packing spheres and thinking about computing cohomology. But I'm back now. So does anybody have a good, value-neutral definition? Is there one that doesn't inherently tie into a theory of legal interpretation? Posted by Dennis at 11:02 AM. Sunday, August 15, 2004. Posted by Dennis at 11:00 AM. Thursday, August 12, 2004. Posted by Dennis at 11:15 AM. Wednesday, August 11, 2004. I hope my loyal fans (yes, I mean all t...
dbfclark.blogspot.com
Namespace Collision: Math Post the Third: Groups and Axioms
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Sunday, June 05, 2005. Math Post the Third: Groups and Axioms. At last, I'm able to tackle my actual topic of interest: group theory. Groups are one of the simplest (not easiest) algebraic structures around, but in spite of the ease of giving an axiomatic definition, I'm going to start with examples before we start; it'll make things much easier. So, a group is a set, say G, with a multiplication, written here by juxtaposition of elements, which has:. It shouldn't take more than a few minutes of thought,...
dbfclark.blogspot.com
Namespace Collision: October 2004
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Monday, October 25, 2004. Short sidenote: a postdoc from Assam told me recently of a local holiday with a story and set of customs essentially identical to those of Purim, down to getting so drunk you can't tell the difference between the good guy and the bad guy. Anybody out there in cyberland have more information for me? But today I wondered this: what should we make of Halloween and Mardi Gras? Or is there some other story we should tell? Posted by Dennis at 11:34 AM. Wednesday, October 13, 2004.
dbfclark.blogspot.com
Namespace Collision: Math Post the Fourth: Abelianness, Subgroups, Closure
http://dbfclark.blogspot.com/2005/06/math-post-fourth-abelianness-subgroups.html
Thursday, June 09, 2005. Math Post the Fourth: Abelianness, Subgroups, Closure. When last we left our heros, they were groups. They were a giant menagerie of strange examples, but they were groups. A new reader named Vito commented that I should talk about a thing called closure, so I will (disclaimer: I was going to anyway). But before I get to the new stuff, something I forgot to mention last time. Some groups have an operation that, in addition to being associative, is also. View my complete profile.